Question

For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.388. The president of the certain college believes that the portion of students who enrolled in her institution have a lower completion rate. (a) Determine the null and alternative hypotheses (b) Explain what it would mean to make a type I error. (c) Explain what it would mean to make a type II error.?

Answer 1

(a)

The hypothesis regarding theproportion of students who got their bachelor's degree within 6 years needs to be tested.

Hence,

(b)

Hence, this implies that the null hypothesis would be discarded even when the population proportion is actually equal to 0.388.

(b)

This implies that the null hypothesis would be accepted even when the population parameter is actually less than 0.388. This situation generally needs to be avoided.